Projected dynamics for metastable decay in Ising models

TL;DR

This paper introduces a method to accurately model metastable decay in Ising models by projecting dynamics onto a Markov chain, enabling lifetime predictions for large systems where direct simulation is impractical.

Contribution

It presents a novel projection scheme that uses small-system simulation data to estimate metastable lifetimes in larger or weak-field systems.

Findings

Projected dynamics closely match direct simulation results

The scheme allows lifetime estimation for large systems

Method is effective for very weak magnetic fields

Abstract

The magnetization switching dynamics in the kinetic Ising model is projected onto a one-dimensional absorbing Markov chain. The resulting projected dynamics reproduces the direct simulation results with great accuracy. A scheme is proposed to utilize simulation data for small systems to obtain the metastable lifetime for large systems and/or for very weak magnetic fields, for which direct simulation is not feasible.